15. tim buys a new computer for his office for $1200. for tax purposes, he declares a linear depreciation (loss of value) of $200 per year. let y be the declared value of the computer after x years. what is the slope of the line that models this depreciation? find the y-intercept of the line. write a linear equation in slope-intercept form to model the value of the computer over time. find the value of the computer after 4.5 years.

Slope is -200 and y-intercept is at (0, 1200)

The linear equation is:  

The value of the computer after 4.5 years will be $300.

Step-by-step explanation:

Value of the new computer is $1200

For tax purposes, the linear depreciation (loss of value) is $200 per year.

So after years, total loss of value will be:  

If is the declared value of the computer after years, then the linear equation will be.......

If we compare the above equation with slope-intercept form, then we will get:   and

So, the slope of the line will be -200 and y-intercept will be at (0, 1200)

After 4.5 years means

So when ,  

Thus, the value of the computer after 4.5 years will be $300.

muyb ajo

step-by-step explanation:

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